{"title":"\\(\\kappa \\)-deformed power spectrum and modified Unruh temperature","authors":"Vishnu Rajagopal","doi":"10.1007/s10714-024-03199-8","DOIUrl":null,"url":null,"abstract":"<div><p>We study the power spectrum of the uniformly accelerating scalar field, obeying the <span>\\(\\kappa \\)</span>-deformed Klein–Gordon equation. From this we obtain the <span>\\(\\kappa \\)</span>-deformed corrections to the Unruh temperature, valid up to first order in the <span>\\(\\kappa \\)</span>-deformation parameter <i>a</i>. We also show that in the small acceleration limit, this expression for the Unruh temperature in <span>\\(\\kappa \\)</span>-deformed space-time is in exact agreement with the one derived from the <span>\\(\\kappa \\)</span>-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter <i>a</i>.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-024-03199-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the power spectrum of the uniformly accelerating scalar field, obeying the \(\kappa \)-deformed Klein–Gordon equation. From this we obtain the \(\kappa \)-deformed corrections to the Unruh temperature, valid up to first order in the \(\kappa \)-deformation parameter a. We also show that in the small acceleration limit, this expression for the Unruh temperature in \(\kappa \)-deformed space-time is in exact agreement with the one derived from the \(\kappa \)-deformed uncertainty relation. Finally, we obtain an upper bound on the deformation parameter a.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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